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Finding the Fourth Proportional to 50.64, 75.94 and 48.22

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Solution

The fourth proportional to 50.64, 75.94 and 48.22 is: 72.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.64 : 75.94 = 48.22 : x
  2. Step 2: Convert to fraction form
    50.64/75.94 = 48.22/x
  3. Step 3: Cross multiply
    50.64x = 75.94 × 48.22
  4. Step 4: Simplify right side
    50.64x = 3,661.83
  5. Step 5: Solve for x
    x = 3,661.83/50.64
  6. Step 6: Final answer
    x = 72.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.